Find the prime factorization of number 231000.

Answer

The prime factorization of 231000 is:
$231000 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 7 \cdot 11$
Which is the same as :
$231000 = 2^{3} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

231000 can be written as 10 × 23100.	231000 10 23100
10 can be written as 2 × 5.	231000 10 5 2 23100
23100 can be written as 10 × 2310.	231000 10 5 2 23100 10 2310
10 can be written as 2 × 5.	231000 10 5 2 23100 10 5 2 2310
2310 can be written as 10 × 231.	231000 10 5 2 23100 10 5 2 2310 10 231
10 can be written as 2 × 5.	231000 10 5 2 23100 10 5 2 2310 10 5 2 231
231 can be written as 3 × 77.	231000 10 5 2 23100 10 5 2 2310 10 5 2 231 3 77
77 can be written as 7 × 11.	231000 10 5 2 23100 10 5 2 2310 10 5 2 231 3 77 11 7
The end nodes are the prime factors of the number 231000.	231000 10 5 2 23100 10 5 2 2310 10 5 2 231 3 77 11 7

This page was created using

Prime factorization calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on mathhelp@mathportal.org.

Send Me A Comment

Main Navigation

Online Math Calculators

Find the prime factorization of number 231000.

The prime factorization of 231000 is:231000=2⋅2⋅2⋅3⋅5⋅5⋅5⋅7⋅11 Which is the same as :231000=23⋅3⋅53⋅7⋅11

The prime factorization of 231000 is:
$231000 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 7 \cdot 11$
Which is the same as :
$231000 = 2^{3} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11$